I own both and I think along the same lines as Molan.
I use my jazz bass for more straight ahead tones (roundwound strings) and finger playing while the Ric (an old 4001) is my pick bass (with flats) that I use in my originals band. It nails that McCartney sound but needs a specific approach to play comfortably.
Answering your question, if I needed to dep or just jam, I would probably take the jazz. But the Ric is special and I couldn't do my stuff without it.
And talking about cost, I would buy that Bacchus jazz in the for sale section if I needed a jazz, by the way. It's a steal. A decent Ric will cost over a grand and you MUST try before you buy, Some of them are pretty grim instruments.